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Finding the Fourth Proportional to 832.94, 1,249.49 and 216.65

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Solution

The fourth proportional to 832.94, 1,249.49 and 216.65 is: 324.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.94 : 1,249.49 = 216.65 : x
  2. Step 2: Convert to fraction form
    832.94/1,249.49 = 216.65/x
  3. Step 3: Cross multiply
    832.94x = 1,249.49 × 216.65
  4. Step 4: Simplify right side
    832.94x = 270,696.30
  5. Step 5: Solve for x
    x = 270,696.30/832.94
  6. Step 6: Final answer
    x = 324.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.